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Number of ways of selecting 4 numbers out of 10 without repeating

There are 5 odd numbers in 0 to 9 which are 1,3,5,7 and 9.

Number of ways of selecting 4 numbers out of 5 without repeating

So probability that the code only contains only odd numbers

= Number of favorable outcomes/Total number of outcomes

= 120/5040

= 0.02381

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